Conduction within relatively complex geometries can sometimes be evaluated using the finite-difference methods of this text that

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Conduction within relatively complex geometries can sometimes be evaluated using the finite-difference methods of this text that are applied to subdomains and patched together. Consider the two-dimensional domain formed by rectangular and cylindrical subdomains patched at the common, dashed control surface.

Calculate the heat transfer per unit depth into the page, q , using  Δx = Δy = r = 10 mm and Φ  =π/8. The base of the rectangular subdomain is held at Th  = 20C, while the vertical surface of the cylindrical subdomain and the surface at outer radius rare at T= 0 C. The remaining surfaces are adiabatic, and the thermal conductivity is k = 10 W/m · K.


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Fundamentals Of Heat And Mass Transfer

ISBN: 9780470501979

7th Edition

Authors: Theodore L. Bergman, Adrienne S. Lavine, Frank P. Incropera, David P. DeWitt

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